Answer: 42/21 or 2
Step-by-step explanation:
you first convert them to improper fractions, which is 14/3 and 7/3. Then, you multiply the reciprocal and get 14/3x3/7, and get 42/21. Simplify, and you get 2.
inequalities i need help question is in picture
Answer:
19-73 19-73 is fine thanks 70-65-46 024 465 8554 48-57
what is the measure of easy interior angle of a regular octagon?
The sum of the interior angle is 1080 and each angle measure is 135 degrees.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have an octagon
In an octagon the number of sides = 8
The sum of the angles in the octagon is given by:
= (n - 2)×180
n = 8
= (8 - 2)180
= 6×180
The sum of the interior angle = 1080
Each angle = 1080/8 = 135 degree
Thus, the sum of the interior angle is 1080 and each angle measure is 135 degrees.
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Solve for x
3x² - 5x + 6 = 10 - 4x
Answer: [tex]-1, \frac{4}{3}[/tex]
Step-by-step explanation:
[tex]3x^{2}-5x+6=10-4x\\\\3x^{2}-x-4=0\\ \\ (x+1)(3x-4)=0 \\ \\ x=\boxed{-1, \frac{4}{3}}[/tex]
Answer:
x = -1
x = 4/3
Step-by-step explanation:
Hello!
First, let's convert the equation into Standard Form: [tex]ax^2 + bx + c = 0[/tex]
[tex]3x^2 - 5x + 6 = 10 - 4x[/tex][tex]3x^2 - x - 4 = 0[/tex]We can solve this by factoring the quadratic. We have to find two numbers that multiply to [tex]ac[/tex] but add up to [tex]b[/tex].
ac = -12b = -1The two numbers would be -4 and 3. We can expand -x to -4x + 3x, and then factor by grouping.
Factor[tex]3x^2 - x - 4 = 0[/tex][tex]3x^2 +3x - 4x - 4 = 0[/tex][tex]3x(x + 1) - 4(x + 1) = 0[/tex][tex](3x - 4)(x + 1) = 0[/tex]Use the Zero Product Property. Set each factor to zero and solve for x.
3x - 4 = 03x = 4x = 4/3x + 1 = 0x = -1The solutions to the quadratic are -1 and 4/3.
can someone please help mee i need the right answers please(30 points and i will give brainliest!!!)
Step-by-step explanation:
Funtion-A:Given:
[tex]y = {x}^{2} - x - 6[/tex]
To find the x-intercepts set y to 0 and solve for x which is done below:
⇒x²-x-6=0⇒(x-3)(x+2)=0X=3 and -2Therefore x-intercepts:(3,0),(-2,0)
To figure out the y-intercept , substitute 0 for x and simplify
⇒y=0²-0-6⇒y=-6Hence, The y-intercept is (0,-6)
The vertex (0.5,-6.25)(skipped the steps as you've already figured it out)
Function-B:Likewise A:
X-intercepts:
⇒-x²+x+6=0⇒x²-x-6=0⇒x=3 and -2Therefore,x-intercepts:(3,0),(-2,0)
Y-intercept:
⇒y=-0²+0+6
⇒y=6
Therefore, y-intercept (0,6)
The vertex:(0.5,6.25)
Inspection of the Parabolas:The difference between the two parabolas is that The blue parabola is the result of reflection over x-axis of the red one.
Answer:
a.
The x-intercepts are 3 and -2
The y-intercept is -6
The vertex is (1/2 , -25/4)
b.
The two parabola are symmetric across the x-axis
Step-by-step explanation:
x² - x - 6
[tex]=x^{2}-2\times \frac{x}{2} +\frac{1}{4} -\frac{1}{4}-6[/tex]
[tex]=(x-\frac{1}{2} )^{2} -(\frac{1}{4}+6)[/tex]
[tex]=(x-\frac{1}{2} )^{2} -\frac{25}{4}[/tex]
The x-intercepts :
(x-1/2)² = 25/4
Then
x - 1/2 = 5/2 or x - 1/2 = -5/2
Then
x = 3 or x = -2
The y-intercepts :
We get the y-intercept by replacing x by 0 in the trinomial :
0² - 0 - 6 = -6
b.
we notice that :
-x² + x + 6 = -(x² - x - 6)
Then
-x² + x + 6
[tex]=-(x-\frac{1}{2} )^{2} +\frac{25}{4}[/tex]
The x-intercepts :
[tex]-(x-\frac{1}{2} )^{2} +\frac{25}{4}=0[/tex]
⇔ (x-1/2)² = 25/4
Then
x - 1/2 = 5/2 or x - 1/2 = -5/2
Then
x = 3 or x = -2
The y-intercepts :
We get the y-intercept by replacing x by 0 in the trinomial :
0² + 0 + 6 = 6
All of the details to the question are in the picture that is attached in this question, please helpp
Answer:
10
Step-by-step explanation:
The arc length of the semicircle is
a+(a+1)+(a+2)+(a+3)+(a+4)=5a+10As x = 42, this means a+4 is 42/180 of the arc length of the circle, 5a+10.
So,
(42/180)(5a+10)=a+442(5a+10)=180(a+4) [multiply both sides by 180]210a+420=180a+720 [distributive property]30a+420=720 [subtract 180a from both sides]30a=300 [subtract 420 from both sides]a=10 [divide both sides by 30]PLEASE HELP ASAP!!!!!!!!!
Prove the trigonometric identity.
tanx+cotx/cscx cosx=sec^2x
Drag an expression to each box to correctly complete the proof.
The proof will be given as:- [tex]\dfrac{tanx+Cotx}{Coscx Cosx} = Sec^2x[/tex].
What is trigonometry?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The proof will be given as:-
[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = \dfrac{tanx}{coscxCosx}+\dfrac{Cosx}{CoscxCosx}\\\\[/tex]
[tex]\dfrac{tanx+Cotx}{Coscx Cosx} =\dfrac{\dfrac{Sinx}{Cosx}}{\dfrac{Cosx}{Sinx}}+\dfrac{\dfrac{Cosx}{Sinx}}{\dfrac{Cosx}{Sinx}}[/tex]
[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = \dfrac{Sin^2x}{Cos^2x}+1[/tex]
[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = tan^2x+1}[/tex]
[tex]\dfrac{tanx+Cotx}{Coscx Cosx} =Sec^2x[/tex]
Therefore the proof will be given as:- [tex]\dfrac{tanx+Cotx}{Coscx Cosx} = Sec^2x[/tex].
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5. In an arithmetic sequence, the fifth term is 44 and the ninth term is 80.(a) Find the common difference. (b) Find the first term. (c) Find the sum of the first 50 terms of the sequence.
Step-by-step explanation:
first you should do is that find the common difference which is 9
2
3
4
5
Which distance measures 7 units?
L
M
N
-8-7-6-5-4-3-2-1012
3
the distance between points L and M
the distance between points L and N
the distance between points M and N
the distance between points M and P
5 6 7 8
TIME REMAINING
56:41
Answer:
the distance between points M and P
Step-by-step explanation:
i did it
A triangle has points monkeys, giraffes, lions. The distance between lions and monkeys is 11 feet and monkey and giraffes is 16 feet. The distance between lions and giraffes is the hypotenuse of x feet.
Which equations will find the distance between the lions and giraffes? Select all that apply.
11+16 = c
112+ 162 = c2
c2+ 162 = 112
121+ 256 = c2
Pythagoras' theorem is a basic relationship between the three sides of a right triangle in Euclidean geometry. The correct option is D.
What is Pythagoras theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
A triangle has points to monkeys, giraffes, and lions. The distance between lions and monkeys is 11 feet and between monkeys and giraffes is 16 feet. The distance between lions and giraffes is the hypotenuse of x feet. The equation that will find the distance between the lions and giraffes is,
c² = 11² + 16²
c² = 121 + 256
c² = 377
Hence, the correct option is D.
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Answer:
D on edge) 121+ 256...
Error Analysis Your classmate
says she drew HJ as an altitude of
triangle ABC. What error did she make?
Answer:
Step-by-step explanation:
Remark
An altitude is a very special line. It must start from one of the angles and connect with the side opposite that angle. The connection must form a right angle.
It cannot start anywhere else -- certainly not in the middle of a line which would make the altitude of random importance. It could not be accurately reproduced.
A single die is rolled. How many ways can you roll a number that is prime,
followed by a number less than 6? (Remember that 1 is not a prime number.)
Answer:
3 different ways
Step-by-step explanation:
2, 3, and 5 are all prime numbers under 6
Can someone please help me
Answer:
minimum value is 3, maximum value is 4.459
Step-by-step explanation:
[tex] log_{2}(8) = \frac{ log(8) }{ log(2) } = 3[/tex]
[tex] log_{2}(22) = \frac{ log(22) }{ log(2) } = 4.459[/tex]
Eva has put down three rows of tiles across the width of the kitchen. Each square tile is 17.5 cm wide. Between the tiles she puts a layer of glue 4mm thick. work out the total length of the floor that Eva's three rows of tiles cover so far.
The davidson family wants to expand its rectangular patio, which currently measures 15 ft by 12 ft. they want to extend the length and width the same amount to increase the total area of the patio by 160 ft2. which quadratic equation best models the situation? a = lw (15)(12) (x)(x) = (15)(12) 160 (15x)(12x) = (15)(12) 160 2(15 x) 2(12 x) = (15)(12) 160 (15 x)(12 x) = (15)(12) 160
Answer:
160
Step-Step Explaining:
So I Know This ⏩ ⏩
please help! [4 x 3⁵ - 9 x (-7)] + 3³ (-4² +2²) - 11 Give your answer in simplest form.
Answer:
Please see the question below.
Step-by-step explanation:
In the expression "[4 x 3⁵ - 9 x (-7)]" I'm unclear if the "x" is a multiplication sign, or the variable x. I'll assume it is the variable x in my answer.
4 x 3⁵ = 972x
- 9 x (-7) = 63x
3³ (-4² +2²) = 27 (20) = 540
-11 = -11
========
Putting it all together:
972x + 63x + 540 -11
1035x + 529
Explain how to write an algebraic expression that
represents the situation.
The strawberries were split evenly into four bags.
Answer:
x divided by 4
Step-by-step explanation:
4 bags
O O
O O
strawberries would go in each
so lets say like 24 strawberries
24 (x) / 4 = 6
so six strawberries a bag
hope this helps like put a picture in your head
The graph of a function f(x) is shown. What is the value of x where f(x) = -5? And f(0)?
Answer:
x = -3 when f(x) = -5
f(0) = 3
Step-by-step explanation:
When f(x) = -5, that means they have told you the y value. When y = -5, x = -3.
If the number is in the parentheses of the function, they are giving you the x value. When x = 0, y = 3
Triangle BDC is isosceles.
Circle A is shown. Line segments A B, A C, and A D are radii. Lines connect each of the points on the circle to the other points to form a triangle. Sides C B and B D are congruent.
Which angle is congruent to ?
As per the question, the answer is ∠CAB is congruent to ∠BAD.
The isosceles triangle :An isosceles triangle named BDC is positioned within a circle. The segments of the circle they pass through are congruent because the faces of the triangles BC and BD are congruent, or identical.
Due to the triangle's faces BC and BD being identical and congruent
BC=BD
Additionally, the segments of the circle it goes across are congruent.
In the case of ΔBAC & ΔBAD
AC=AD= the radius of the circle
AB=BA
Thus, BAC is consistent with BAD according to SSS guidelines.
As a result, the central angles of the sections are also congruent; hence, BAD and CAB are congruent.
As a result, ∠BAD is equivalent to ∠BAC OR ∠CAB.
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Answer:
B on edge
Step-by-step explanation:
CAD
A _________________ is a numerical measurement describing some characteristic of a population.
Answer:
parameter
Step-by-step explanation:
Betty has the option of using three types of tables in her coffee shop:
square tables with a side length of 36 inches
rectangular tables 20 inches wide and 73 inches long
round (circular) tables with a diameter of 42 inches.
Which type of table has the largest area?
a.)
Square tables
b.)
Rectangular tables
c.)
Round tables
d.)
The tables all have the same area.
Answer:
The rectangular table
Step-by-step explanation:
Square table: 36*36=1296
Rectangular table: 20*42=1460 [tex]in^{2}[/tex]
Circular table: [tex]\pi * 21^{2}[/tex]≅1384
Find the product (-4/9) - (-3/8)
6.0000000001
Ans right
The driving distance between Manchester and London is 195 miles. Farid intends to travel from Manchester to London by coach. The coach will leave Manchester at 3.30pm.
Farid assumes that the coach will travel at an average speed of 50mph
A)Using his assumption, work out Faris's arrival time at London.
It actually turns out that the coach has a lower average speed.
B)Describe how this affects the arrival time
Answer:
7:24pm
Step-by-step explanation:
At 50 mph, it will take 195/50 = 3.9 hours to reach London
3.9 hours = 3 .9 * 60 = 3 hours and 54 minutes(54 = 0.9 * 60 )
3:30 + 3:34 ==> 7:24
(one way to do this is to add up the hours and minutes separately so we get 6:84) Since 84 minutes = 1 hour and 24 minutes, just add 1:24 to 6 to get 7:24
Another way to do this is to see that if the distance was 200 miles, then it would take exactly 4 hours (200/50) to reach at 7:30pm But it is short by 5 miles. At the speed of 50mph, the time taken to travel 5 miles = 60/50 * 5 = 6 minutes so deduct 6 minutes from 7:30pm to get 7:24pm
If the train is slower average speed, then the arrival time is delayed beyond 7:24pm
-40 represents the height of a subway 40 feet below ground level. 40 represents the height of a kite 40 feet above ground level what does the zero rpresent in this situation
Answer:
0 represents the ground level
find the gradient of the line joining the points (0,2) and (-2,-4)
Answer:
m = 3
Step-by-step explanation:
Gradient of a line is given by the formula
m= (y2-y1) /(x2-x1) which is change y divided by change in x
m = (-4-2)/(-2-0)
m = -6/-2
m = 3
Answer: the gradient is 3
Step-by-step explanation:
for a full explanation refer to the document and the ones written colorfully are the explanation. So, if you want just the workings they are the ones written in black.
and I drew an eye! Have a nice day!
Jackson took 8 fewer pictures on Saturday than he did on Friday. If he took 11 pictures on Friday, how many pictures did he take on Saturday?
Friday =11
Saturday =?
But, we know that the pictures he took on Saturday are eight times fewer than those he took on Friday.
Saturday = 11-8
= 3
∴ He took 3 pictures on Saturday.
Hope this helps >3
Shea and Chris drive to work.
Shea drives 30 miles in 1.25 hours.
Chris drives 62 km in 1 hour 15 min.
Work out the difference between their average speeds in km/h.
1 mile = 1.6 km
Answer:
11.2 km/hr
Step-by-step explanation:
Shea's speed: 48km/1.25hr=38.4 km/hr
Chris's speed: 62km/1.25hr= 49.6 km/hr
Vav= 49.6-38.4= 11.2 km/hr
someone help me get outta summer school slope? And y intercept?
what is the volume of a triangular prisim if the length is 4cm heigght is 3cm and width is 11cm
Volume is a three-dimensional scalar quantity. The volume of the triangular prism is 66cm².
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the length of the triangle is 4cm, while the width of the triangle is 11cm, therefore, the area of the base of the triangle will be,
Area of triangle = 0.5 × 4cm × 11cm
Area of triangle = 22 cm²
Now, the volume of the prism with a base area of 22cm² and a height of 3 cm is,
Volume of the triangular prism = 22cm² × 3cm = 66cm³
Hence, the volume of the triangular prism is 66cm².
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what is the domain of the following function: y=x^-5 + (x-1)
Answer:
Step-by-step explanation:
Solve: 7 x + 2 y = 16; -21 x-6 y = 24 Solve : 7 x + 2 y = 16 ; -21 x - 6 y = 24
Answer:
No solution
Step-by-step explanation:
Solving system of linear equations:7x + 2y = 16 ----------------(I)
-21x - 6y = 24 -----------------(II)
[tex]\sf \dfrac{a_1}{a_2}=\dfrac{7}{-21}=\dfrac{-1}{3}\\[/tex]
[tex]\sf \dfrac{b_1}{b_2}=\dfrac{2}{-6}=\dfrac{-1}{3}[/tex]
[tex]\sf \dfrac{c_1}{c_2} =\dfrac{16}{24}=\dfrac{2}{3}\\\\ \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2}[/tex]
So, the lines are parallel and has no solution
